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Finding the Third Proportional to 460,836 and 953,643

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Solution

The third proportional to 460,836 and 953,643 is: 1,973,446.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,836 : 953,643 = 953,643 : x
  2. Step 2: Convert to fraction form
    460,836/953,643 = 953,643/x
  3. Step 3: Cross multiply
    460,836x = 953,643 × 953,643
  4. Step 4: Simplify right side
    460,836x = 909,434,971,449
  5. Step 5: Solve for x
    x = 909,434,971,449/460,836
  6. Step 6: Final answer
    x = 1,973,446.02

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.